Shock Waves in Self-Similar Hydromagnetic Shear Flow: Analytic Solutions in a Plane Geometry

1970 ◽  
Vol 13 (2) ◽  
pp. 353 ◽  
Author(s):  
R. N. Henriksen
Keyword(s):  
Shock Waves ◽  
Shear Flow ◽  
Analytic Solutions ◽  
Plane Geometry ◽  
Self Similar

scholarly journals On the propagation of diel signals in river networks using analytic solutions of flow equations

2015 ◽  
Vol 12 (8) ◽  
pp. 8175-8220 ◽  
Author(s):  
M. Fonley ◽  
R. Mantilla ◽  
S. J. Small ◽  
R. Curtu
Keyword(s):  
Analytic Solutions ◽  
River Network ◽  
Low Flow ◽  
River Networks ◽  
Signal Delay ◽  
Flow Conditions ◽  
Flow Equations ◽  
Linear Transport Equation ◽  
Daily Evapotranspiration ◽  
Self Similar

Abstract. Two hypotheses have been put forth to explain the magnitude and timing of diel streamflow oscillations during low flow conditions. The first suggests that delays between the peaks and troughs of streamflow and daily evapotranspiration are due to processes occurring in the soil as water moves toward the channels in the river network. The second posits that they are due to the propagation of the signal through the channels as water makes its way to the outlet of the basin. In this paper, we design and implement a theoretical experiment to test these hypotheses. We impose a baseflow signal entering the river network and use a linear transport equation to represent flow along the network. We develop analytic streamflow solutions for two cases: uniform and nonuniform velocities in space over all river links. We then use our analytic solutions to simulate streamflows along a self-similar river network for different flow velocities. Our results show that the amplitude and time delay of the streamflow solution are heavily influenced by transport in the river network. Moreover, our equations show that the geomorphology and topology of the river network play important roles in determining how amplitude and signal delay are reflected in streamflow signals. Finally, our results are consistent with empirical observations that delays are more significant as low flow decreases.

Cylindrical shock and detonation waves in magnetogasdynamics

1969 ◽  
Vol 39 (4) ◽  
pp. 705-725 ◽  
Author(s):  
A. H. Christer ◽  
J. B. Helliwell
Keyword(s):  
Shock Waves ◽  
Strong Shock ◽  
Flow Patterns ◽  
Detonation Waves ◽  
Cylindrically Symmetric ◽  
Constant Strength ◽  
Self Similar ◽  
Axis Of Symmetry ◽  
Similar Solutions ◽  
Shock And Detonation Waves

Self-similar flow patterns are studied which arise when a cylindrically symmetric strong shock or detonation wave propagates outwards into a gas at rest in which the ambient density varies as the inverse square of the distance from the axis of symmetry along which flows a line current of either zero or finite constant strength. The electrical conductivity of the gas on either side of the wave is supposed perfect and the discontinuities discussed are either gasdynamic or magnetogas-dynamic in nature. It is shown that self-similar solutions exist for piston driven gasdynamic detonation and shock waves. Whilst no self-similar solutions may occur for magnetogasdynamic detonation waves, it is demonstrated that magnetogasdynamic shock waves do possess such solutions for which detailed flow patterns are presented.

A self-similar solution of exponential shock waves in non-ideal magnetogasdynamics

Meccanica ◽  
2010 ◽  
Vol 46 (2) ◽  
pp. 437-445 ◽  
Author(s):  
L. P. Singh ◽  
Akmal Husain ◽  
M. Singh
Keyword(s):  
Shock Waves ◽  
Similar Solution ◽  
Self Similar Solution ◽  
Self Similar

Self-similar MHD shock waves for a rotating atmosphere under the force of gravitation

1993 ◽  
Vol 200 (1) ◽  
pp. 27-34 ◽  
Author(s):  
Onkar Nath ◽  
S. N. Ojha ◽  
H. S. Takhar
Keyword(s):  
Shock Waves ◽  
Self Similar ◽  
Mhd Shock Waves
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